Answer:
All I can tell you from what you've given me is that the slope is positive, and the y-intercept is 1.
Step-by-step explanation:
<em>Hope </em><em>I</em><em>t</em><em> </em><em>helps!</em>
Answer:
The answer is
<h2>
![\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units](https://tex.z-dn.net/?f=%5Csqrt%7B29%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A5.38%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20units)
</h2>
Step-by-step explanation:
The length of the segment connecting two points can be found by using the formula
![d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\](https://tex.z-dn.net/?f=d%20%3D%20%20%5Csqrt%7B%20%28%7Bx1%20-%20x2%7D%29%5E%7B2%7D%20%2B%20%20%28%7By1%20-%20y2%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20)
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(1,3) and B(6,5)
The length is
![|AB| = \sqrt{ ({1 - 6})^{2} + ({3 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 2})^{2} } \\ = \sqrt{25 + 4} \\ = \sqrt{29}](https://tex.z-dn.net/?f=%20%7CAB%7C%20%20%3D%20%20%5Csqrt%7B%20%28%7B1%20-%206%7D%29%5E%7B2%7D%20%2B%20%20%28%7B3%20-%205%7D%29%5E%7B2%7D%20%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B%20%28%7B%20-%205%7D%29%5E%7B2%7D%20%20%2B%20%28%20%7B%20-%202%7D%29%5E%7B2%7D%20%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B25%20%2B%204%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B29%7D%20)
We have the final answer as
![\sqrt{29} \: \: \: or \: \: \:5.38 \: \: \: units](https://tex.z-dn.net/?f=%20%5Csqrt%7B29%7D%20%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20or%20%5C%3A%20%20%5C%3A%20%20%5C%3A5.38%20%5C%3A%20%20%5C%3A%20%20%5C%3A%20units)
Hope this helps you
Hello there!
For this you simply need to give both fractions a common denominator!
The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.
So:
1/4 --> ?/12 --> 1 (3) / 12 --> 3/12
2/3 --> ?/12 --> 2 (4) / 12 --> 8/12
Total amount of time means the sum (adding them together).
When adding fractions, you MUST have a common denominator! (Which is what we just did).
So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours
Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)
Hope this helped!
-------------------------------
DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!
Answer:
y = 5x + 3
Step-by-step explanation:
The answer that belongs in the ? is 5.
Answer:
$2353 at 12.5% and $7647 at 8.25%
Step-by-step explanation:
I'll say a is the amount he invested in one market, and b is the amount in the other.
a + b = 10000, or b = 10000 - a
multiplying the investments with the percentages and adding them together will give the total earned interest.
(a × 0.125) + (b × 0.0825) = 925
0.125a + 0.0825b = 925
Use substitution to solve for a.
0.125a + 0.0825(10000 - a) = 925
0.125 a + 825 - 0.0825a = 925
0.0425a = 100
a = 2352.94
Use substitution to find b
b = 10000 - 2352.94
b = 7647.06
The questions are to the nearest dollar so round a and b.
$2353 and $7647